If men changed jobs more often than women [1], or sent more applications to other companies (as a means of getting a raise at their current company), could that anecdotally make it seem like the ratio is more skewed than it really is?

I mean, if men are more often "candidates" for moving between jobs, then it would, right?

If that were true, then an employer wanting a more loyal or longer term employee might seek out more women.

[1] I have no evidence for any of this.